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Geometry Flashcards

7 cards from real COMPASS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Geometry flashcards as text

  1. In a right triangle, the two legs measure 5 and 12. What is the length of the hypotenuse?

    Answer: 13

    By the Pythagorean theorem: c = √(5² + 12²) = √(25 + 144) = √169 = 13.

  2. What is the area of a trapezoid with bases of length 6 and 10 and a height of 4?

    Answer: 32

    Area = ½(b₁ + b₂) × h = ½(6 + 10) × 4 = ½ × 16 × 4 = 32.

  3. A tangent line to a circle:

    Answer: Touches the circle at exactly one point

    A tangent line touches a circle at exactly one point and is perpendicular to the radius drawn to that point.

  4. The exterior angle of a triangle equals:

    Answer: The sum of the two non-adjacent interior angles

    The Exterior Angle Theorem states that an exterior angle equals the sum of the two remote (non-adjacent) interior angles.

  5. A cylinder has a radius of 3 and a height of 7. What is its volume?

    Answer: 63π

    Volume of a cylinder = πr²h = π(3²)(7) = π(9)(7) = 63π.

  6. What is the perimeter of a regular pentagon with a side length of 8?

    Answer: 40

    A regular pentagon has 5 equal sides, so perimeter = 5 × 8 = 40.

  7. A rectangular box has a length of 4, a width of 3, and a height of 5. What is its volume?

    Answer: 60

    Volume = length × width × height = 4 × 3 × 5 = 60.